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NASAs Tension Element Vibration Damping technology presents a novel method of managing the dynamic behavior of structures by capturing the vibrational displacement of the structure via a connecting link and using this motion to drive a resistive element. The resistive element then provides a force feedback that manages the dynamic behavior of the total system or structure. The damping force feedback can be a tensile or compressive force, or both. Purely tensile force has advantages for packaging and connection alignment flexibility while combined tensile/compression forces have the advantage of providing damping over a complete vibratory cycle. This innovation can be readily applied to existing structures and incorporated into any given design as the connecting element is easily affixed to displacing points within the structure and the resistive element to be located in available space or a convenient location. The resistive element can be supplied by any one of either hydraulic, pneumatic or magnetic forces. As such the innovation can provide a wide range of damping forces, a linear damping function and/or an extended dynamic range of attenuation, providing broad flexibility in configuration size and functional applicability. NASA-built prototypes have been shown to be highly effective on a 170-foot long wind turbine blade in test beds at the University of Maine.